| Abstract | We have theoretically studied chaotic dynamics of ballistic electrons in GaAs-based quantum dot miniband superlattices under the influence of an intense terahertz electromagnetic radiation, using the balance equations coupling the self-consistent field equation. The electron motion that incorporates the influence of the self-consistent field within the miniband superlattices produces a cooperative nonlinear oscillatory mode, which can lead to complicated chaotic dynamics with the driving amplitude, driving frequency, and the relaxation frequency of the external circuit as the controlling parameters. The temporal behaviors of the solutions of the nonlinear dynamical system are analyzed by using different methods, such as phase portrait, power spectra, first return map, and Lyapunov exponent. The two-dimensional driving amplitude-frequency phase diagrams are calculated with a realistic treatment of scattering contributions by impurity, acoustic phonon, and polar-optic phonons in order to visualize the chaotic regions in the parameter space. The dependence of chaotic regions on the superlattice parameter, lattice temperature, and external circuit condition, is extensively investigated, which provides useful guidance of controlling chaos in realistic device applications. |
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